Haptic gloves allow the players to feel the virtual world more realistically by providing force feedback. At present, haptic gloves are mainly driven by conventional motors, and for them, being lightweight, low cost, low in power consumption, and intrinsically safe to operators are challenging. Here, we designed a haptic glove (So-EAGlove) integrating a flexible electrostatic adhesive brake to resist human fingers with a tunable braking force and render a softness sensation. This glove weighs only 51 g, but is capable of simulating objects in a large range of Young's modulus from 540 Pa to 5.4 MPa. The electrostatic adhesive brake costs only approximately 2.43 mW during operation, i.e., more than three days powered by a small button battery. We built a feedforward control model and evaluated its performance. Experimental results show that this glove can generate an accurate force to follow the force-displacement profile of the corresponding real objects. The error is less than 7%, barely noticeable by the subjects. The subjective tests also demonstrate that little statistical difference exists between the real objects and the virtual objects for the subjects.